where \(A(\lambda )\in \mathbb {C}[\lambda ]^{p\times p}\)  is regular and the Schur complement of \(A(\lambda )\)  in \(L(\lambda )\)  is the rational matrix \(R(\lambda )\) , i.e., \(R(\lambda ) =D(\lambda )+C(\lambda )A( \lambda )^{-1}B(\lambda )\) . In this situation, it is also said that \(R(\lambda )\)  is the transfer function matrix of \(L(\lambda ).\)  These pencils are particular instances of Rosenbrock's polynomial system matrices [1]}, which may have any degree.
